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Finding the Fourth Proportional to 330.89, 456.70 and 220.37

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Solution

The fourth proportional to 330.89, 456.70 and 220.37 is: 304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.89 : 456.70 = 220.37 : x
  2. Step 2: Convert to fraction form
    330.89/456.70 = 220.37/x
  3. Step 3: Cross multiply
    330.89x = 456.70 × 220.37
  4. Step 4: Simplify right side
    330.89x = 100,642.98
  5. Step 5: Solve for x
    x = 100,642.98/330.89
  6. Step 6: Final answer
    x = 304.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.